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Finding the Fourth Proportional to 76,415.60, 114,623.40 and 55,679.60

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Solution

The fourth proportional to 76,415.60, 114,623.40 and 55,679.60 is: 83,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.60 : 114,623.40 = 55,679.60 : x
  2. Step 2: Convert to fraction form
    76,415.60/114,623.40 = 55,679.60/x
  3. Step 3: Cross multiply
    76,415.60x = 114,623.40 × 55,679.60
  4. Step 4: Simplify right side
    76,415.60x = 6,382,185,062.64
  5. Step 5: Solve for x
    x = 6,382,185,062.64/76,415.60
  6. Step 6: Final answer
    x = 83,519.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.